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Popular >

y^{''}-4y^'+8=0

Solution

y^{^{''}} - 4 y^{^{'}} + 8 = 0

Solution

y = c_{1} e^{4 t} + c_{2} + 2 t

Solution steps

y^{''} (t) - 4 y^{'} (t) + 8 = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} + 2 t

y = c_{1} e^{4 t} + c_{2} + 2 t

Graph

Popular Examples

integral of (x^2+4)^{-2}

\int (x^{2} + 4)^{- 2} d x

integral of 1/(1+z^2)

\int \frac{1}{1 + z ^{2}} d z

t^2y^{''}+13ty^'+36y=0

t^{2} y^{^{''}} + 13 t y^{^{'}} + 36 y = 0

9y^{''}-60y^'+51y=0,y(0)=1,y^'(0)=0

9 y^{^{''}} - 60 y^{^{'}} + 51 y = 0, y (0) = 1, y^{^{'}} (0) = 0

derivative of (sin(2x+1)^2)

\frac{d}{d x} ((sin (2 x) + 1)^{2})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y^'+8=0 ?
The solution for y^{''}-4y^'+8=0 is y=c_{1}e^{4t}+c_{2}+2t